Journal Article

PreJuSER-9983

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Local persistence in directed percolation

Grassberger, P.FZJ*

2009
IOP Publ. Bristol

This record in other databases:    

Please use a persistent id in citations: doi:10.1088/1742-5468/2009/08/P08021

Abstract: We reconsider the problem of local persistence in directed site percolation. We present improved estimates of the exponent of persistence in all dimensions from 1 + 1 to 7 + 1, obtained using new algorithms and using improved implementations of existing ones. We verify the strong corrections to scaling for 2 + 1 and 3 + 1 dimensions found in previous analyses, but we show that scaling is much better satisfied for very large and very small dimensions. For d > 4 (d is the spatial dimension), the persistence exponent depends non-trivially on d, in qualitative agreement with the non-universal values calculated recently by Fuchs et al (2008 J. Stat. Mech. P04015). These results are mainly based on efficient simulations of clusters evolving under the time reversed dynamics with a permanently active site and a particular survival condition discussed by Fuchs et al. These simulations suggest also a new critical exponent zeta which describes the growth of these clusters conditioned on survival, and which turns out to be the same as the exponent, eta+delta in standard notation, of surviving clusters under the standard DP evolution.

Keyword(s): J ; critical exponents and amplitudes (theory) (auto) ; percolation problems (theory) (auto) ; persistence (theory) (auto)

Note: Record converted from VDB: 12.11.2012

---

Contributing Institute(s):

1. Jülich Supercomputing Centre (JSC)

Research Program(s):

1. Scientific Computing (P41)

Appears in the scientific report 2009
Notes: Nachtrag

---